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Simplifying 2(3c + -1) + -1 = 2c + 9 Reorder the terms: 2(-1 + 3c) + -1 = 2c + 9 (-1 * 2 + 3c * 2) + -1 = 2c + 9 (-2 + 6c) + -1 = 2c + 9 Reorder the terms: -2 + -1 + 6c = 2c + 9 Combine like terms: -2 + -1 = -3 -3 + 6c = 2c + 9 Reorder the terms: -3 + 6c = 9 + 2c Solving -3 + 6c = 9 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -3 + 6c + -2c = 9 + 2c + -2c Combine like terms: 6c + -2c = 4c -3 + 4c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 -3 + 4c = 9 + 0 -3 + 4c = 9 Add '3' to each side of the equation. -3 + 3 + 4c = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4c = 9 + 3 4c = 9 + 3 Combine like terms: 9 + 3 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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